length n = 76
dimension k = 4
alphabet length q = 3

minimum distance d = 51

generator matrix:
0000000000000000000000000111111111111111111111111111111111111111111111111111
0001110001110011111111111000022200022200011100011100001112221112221111122222
0110120110121101201201212001201201201201201201201212120120120120120121201212
1120001120000011111122222011100011100022200022200000001112221112222222211111

projective group of automorphisms generated by:
2000
0001
0212
0100